Periodic Structure of Equatorial Envelope Rossby Wave Under
Influence of Diabatic Heating |
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Authors: | FU Zun-Tao CHEN Zhe LIU Shi-Da LIU Shi-Kuo |
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Institution: | School of Physics, Peking University, Beijing 100871, China |
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Abstract: | A simple shallow-water model with influence of diabatic heating on
a β-plane is applied to investigate the nonlinear equatorial
Rossby waves in a shear flow. By the asymptotic method of multiple
scales, the cubic nonlinear Schrodinger (NLS for short)
equation with an external heating source is derived for large
amplitude equatorial envelope Rossby wave in a shear flow. And
then various periodic structures for these equatorial envelope
Rossby waves are obtained with the help of Jacobi elliptic
functions and elliptic equation. It is shown that phase-locked
diabatic heating plays an important role in periodic structures of
rational form. |
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Keywords: | nonlinear Schrodinger equation periodic structure diabatic heating Jacobi elliptic function |
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